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Table of contents (4 chapters)
Keywords
About this book
The theory of complex analytic sets is a relatively young branch of complex analysis. Basically, it was developed to fulfill the need of the theory of functions of several complex variables, but for a long time its development was, so to speak, within the framework of algebraic geometry - by analogy with algebraic sets. And although at present the basic methods of the theory of analytic sets are related with analysis and geometry, the foundations of the theory are expounded in the purely algebraic language of ideals in commutative algebras.
In the present book I have tried to eliminate this noncorrespondence and to give a geometric exposition of the foundations of the theory of complex analytic sets, using only classical complex analysis and a minimum of algebra (well-known properties of polynomials of one variable). Moreover, it must of course be taken into consideration that algebraic geometry is one of the most important domains of application of the theory of analytic sets, and hence a lot of attention is given in the present book to algebraic sets.
Authors and Affiliations
Bibliographic Information
Book Title: Complex Analytic Sets
Authors: E. M. Chirka
Series Title: Mathematics and its Applications
DOI: https://doi.org/10.1007/978-94-009-2366-9
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Kluwer Academic Publishers 1989
Hardcover ISBN: 978-0-7923-0234-6Published: 31 July 1989
Softcover ISBN: 978-94-010-7565-7Published: 21 December 2011
eBook ISBN: 978-94-009-2366-9Published: 06 December 2012
Series ISSN: 0169-6378
Edition Number: 1
Number of Pages: XX, 372
Additional Information: Originally published in Russian
Topics: Several Complex Variables and Analytic Spaces, Algebraic Geometry, Functions of a Complex Variable